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Finding the Fourth Proportional to 3,549.52, 5,324.51 and 1,084.51

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Solution

The fourth proportional to 3,549.52, 5,324.51 and 1,084.51 is: 1,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.52 : 5,324.51 = 1,084.51 : x
  2. Step 2: Convert to fraction form
    3,549.52/5,324.51 = 1,084.51/x
  3. Step 3: Cross multiply
    3,549.52x = 5,324.51 × 1,084.51
  4. Step 4: Simplify right side
    3,549.52x = 5,774,484.34
  5. Step 5: Solve for x
    x = 5,774,484.34/3,549.52
  6. Step 6: Final answer
    x = 1,626.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.